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Finding the Fourth Proportional to 76,779.90, 105,953.04 and 42,786.60

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Solution

The fourth proportional to 76,779.90, 105,953.04 and 42,786.60 is: 59,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,779.90 : 105,953.04 = 42,786.60 : x
  2. Step 2: Convert to fraction form
    76,779.90/105,953.04 = 42,786.60/x
  3. Step 3: Cross multiply
    76,779.90x = 105,953.04 × 42,786.60
  4. Step 4: Simplify right side
    76,779.90x = 4,533,370,341.26
  5. Step 5: Solve for x
    x = 4,533,370,341.26/76,779.90
  6. Step 6: Final answer
    x = 59,043.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.